Question

100 points, please help:)

Given the graph below, state the parabola's vertex and the equation of the axis of symmetry.
1.(2, –3); x = 2
2.(2, –3); x = –3
3.(2, –3); y = 2
4.(2, –3); y = –3
5. none of the above

Answer 1

1. (2, –3); x = 2

Explanation:

The vertex of a parabola is its turning point. This is:

• the minimum point of a parabola that opens upwards, or
• the maximum point of a parabola that opens downwards.

From inspection of the given graph, the vertex of the parabola is (2, -3).

The axis of symmetry is the vertical line that passes through the vertex and divides the parabola into two equal (symmetrical) halves.

The axis of symmetry is the x-value of the vertex.

Therefore, the axis of symmetry of the graphed parabola is x = 2.

Answer 2

• 1. (2, –3); x = 2

---------------------------------

According to the graph, the vertex is at (2, - 3).

The axis of symmetry passes through the vertex, so its x-coordinate determines the vertical line:

• x = 2

The matching answer choice is 1.